Search a number
-
+
3273728 = 21023139
BaseRepresentation
bin1100011111010000000000
320011022201012
430133100000
51314224403
6154100052
736553253
oct14372000
96138635
103273728
111936667
12111a628
138a8123
1461309a
15449ed8
hex31f400

3273728 has 44 divisors (see below), whose sum is σ = 6877920. Its totient is φ = 1554432.

The previous prime is 3273703. The next prime is 3273737. The reversal of 3273728 is 8273723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3273694 and 3273703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23483 + ... + 23621.

Almost surely, 23273728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438960).

3273728 is an abundant number, since it is smaller than the sum of its proper divisors (3604192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3273728 is a wasteful number, since it uses less digits than its factorization.

3273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 3273728 is about 1809.3446327331. The cubic root of 3273728 is about 148.4844122747.

It can be divided in two parts, 32 and 73728, that multiplied together give a square (2359296 = 15362).

The spelling of 3273728 in words is "three million, two hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 139 184 256 278 368 512 556 736 1024 1112 1472 2224 2944 3197 4448 5888 6394 8896 11776 12788 17792 23552 25576 35584 51152 71168 102304 142336 204608 409216 818432 1636864 3273728